Gaurav Tiwari is one of the top Education bloggers online, specializing in exam preparation, online learning and career development. Read these articles to prepare yourself for college and beyond. Plus, learn to earn, save and grow yourself.
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Problem solving in mathematics isn't about memorizing formulas. It's about knowing what to look for. I break down the essential steps every math student needs: understanding the problem, devising a…
Lilavati is a 12th-century mathematics treatise that reads like poetry. Written by Bhaskara II, it wraps arithmetic, algebra, and geometry inside riddles about bees, snakes, and peacocks. I've created a…
Einstein gets all the credit for relativity, but Poincare was circling the same ideas years earlier. He was trying to salvage classical physics with modifications when the Michelson-Morley experiment shattered…
Pick any positive integer. If it's even, halve it. If it's odd, triple it and add one. Repeat. You always reach 1. At least, that's what every number ever tested…
The Dirichlet theorem connects the Gamma and Beta functions to evaluate complex multiple integrals. Liouville extended it further, making it even more powerful. I cover both theorems with complete proofs,…
Unimolecular reactions seem impossible. A single molecule just reacts on its own? Where does the energy come from? Lindemann solved this puzzle by proposing that molecules first get energized through…
Shakuntala Devi's missing money puzzle is a classic in mathematical logic. Two women sell marbles at different rates. When they combine forces, the math doesn't add up. Where did the…
In 1904, Poincare asked a deceptively simple question: if a three-dimensional shape is simply connected, must it be a sphere? This question stumped mathematicians for nearly a century until Grigori…
Cosmic rays aren't actually rays. They're high-energy particles from deep space that slam into Earth's atmosphere at nearly the speed of light. I explain what cosmic radiation is, how cosmic…
Lord Rayleigh and James Jeans tried to explain blackbody radiation using classical physics. They failed spectacularly. Their formula worked at low frequencies but predicted infinite energy at high frequencies. This…
Wien's displacement law and Wien's distribution law are fundamental to understanding blackbody radiation. This guide covers both formulas, their derivations, and how they predict the relationship between temperature and peak…
Here's a mathematical fallacy that trips up even sharp students. Can you prove that the derivative of x squared is x instead of 2x? I'll show you the flawed proof,…
